Let X be a continuous random variable with a density function: 3|x| k f(x) = - 25xS2 0, otherwise Then k is equal to: 1/4 2/3 1/6 4/13
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- Let X be a random variable with density function f(x) = cx−3, if x ≥ 1, 0 otherwise. a) Find c.b) Find P (3 < X ≤ 6).c) What is P(X = 3)?Suppose that X is a continuous random variable with density function f(x). If f(x)=k for −5≤x≤3 and f(x)=0 otherwise, determine the value of k.Let X be a continuous random variable with density function f(x) = {2x if x ∈ [0,1] {0 otherwise Compute E[X] and E(X2).
- The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. What is P(X ≤ 4)? What is P(4.5 < X)?The random variables X and Y have the following joint probability density function:f(x,y)={e−x−y , 0<x<∞; 0, elsewhere. What is Cov(X,Y)(X,Y)?Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (◦F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint density
- 1) Let x be a uniform random variable in the interval (0, 1). Calculate the density function of probability of the random variable y where y = − ln x.A continuous random variable X that can assume values only between X = 2 and 8 inclusive has a density function given by a(X+3), where a is a constant. Calculate a and Find, P(3Find a value of k that will make f a probability density functionon the indicated interval.ƒ(x) = kx; [0, 3]